U^2+40U-329=0

Solution for U^2+40U-329=0 equation:

Simplifying
U2 + 40U + -329 = 0

Reorder the terms:
-329 + 40U + U2 = 0

Solving
-329 + 40U + U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-47 + -1U)(7 + -1U) = 0

Subproblem 1
Set the factor '(-47 + -1U)' equal to zero and attempt to solve:

Simplifying
-47 + -1U = 0

Solving
-47 + -1U = 0

Move all terms containing U to the left, all other terms to the right.

Add '47' to each side of the equation.
-47 + 47 + -1U = 0 + 47

Combine like terms: -47 + 47 = 0
0 + -1U = 0 + 47
-1U = 0 + 47

Combine like terms: 0 + 47 = 47
-1U = 47

Divide each side by '-1'.
U = -47

Simplifying
U = -47
Subproblem 2
Set the factor '(7 + -1U)' equal to zero and attempt to solve:

Simplifying
7 + -1U = 0

Solving
7 + -1U = 0

Move all terms containing U to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1U = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1U = 0 + -7
-1U = 0 + -7

Combine like terms: 0 + -7 = -7
-1U = -7

Divide each side by '-1'.
U = 7

Simplifying
U = 7
Solution
U = {-47, 7}